Search a number
-
+
70027264 = 211311103
BaseRepresentation
bin1000010110010…
…00100000000000
311212202202100101
410023020200000
5120411333024
610540532144
71510136056
oct413104000
9155682311
1070027264
113658a57a
121b551054
131167b068
14942c1d6
156233c44
hex42c8800

70027264 has 48 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 33853440.

The previous prime is 70027241. The next prime is 70027297. The reversal of 70027264 is 46272007.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62937 + ... + 64039.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 270027264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).

70027264 is an abundant number, since it is smaller than the sum of its proper divisors (74640896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70027264 is a wasteful number, since it uses less digits than its factorization.

70027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 70027264 is about 8368.2294423611. The cubic root of 70027264 is about 412.1820290940.

It can be divided in two parts, 700272 and 64, that added together give a triangular number (700336 = T1183).

The spelling of 70027264 in words is "seventy million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1103 1984 2048 2206 3968 4412 7936 8824 15872 17648 31744 34193 35296 63488 68386 70592 136772 141184 273544 282368 547088 564736 1094176 1129472 2188352 2258944 4376704 8753408 17506816 35013632 70027264